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The Null Space of Fuzzy Inclusion Measures [PDF]
This work is partially supported by TIN2017-84804-R, TIN2016-77356-P (Spanish Ministry of Science and Innovation) and FC-18-GRUPIN-IDI-2018-226 (Regional Ministry of the Principality of Asturias).
Inés Couso +3 more
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Measuring calcium in ‘fuzzy’ spaces [PDF]
Ca2+ signals governing contraction of cardiac muscle are initiated by Ca2+ entry via L-type Ca2+ channels and are subsequently amplified severalfold by release of Ca2+ from the sarcoplasmic reticulum (SR). Coupling of the two sources for Ca2+ and amplification of the Ca2+ signal occur by virtue of the Ca2+-induced Ca2+ release mechanism (CICR).
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The fuzzy metric space based on fuzzy measure
Abstract In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space.
Xie Jialiang +3 more
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On the definition of probabilistic metric spaces by means of fuzzy measures
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Yasuo Narukawa +2 more
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On a Representation of Observables in Fuzzy Measurable Spaces
A representation theorem of observables (on so-called fuzzy quantum spaces) by random variables is presented. Since the paper was published very late, other proofs of the main result have been published yet [e.g., \textit{R. Mesiar}, J. Math. Anal. Appl. 174, No. 1, 178-193 (1993; Zbl 0777.60005)].
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Hierarchies and Uncertainty Measures on Pythagorean Fuzzy Approximation Spaces [PDF]
In Granular Computing, the hierarchies and uncertainty measures are two important concepts to investigate the granular structures and uncertainty of approximation spaces. In this paper, hierarchies and uncertainty measures on pythagorean fuzzy approximation spaces will be researched.
Xiaojing Luo +4 more
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SIGNED MEASURES AND HAHN-JORDAN DECOMPOSITIONS OF FUZZY MEASURABLE SPACES
A quantum mechanics model is studied on the base of the Zadeh fuzzy connectives. In the framework, the Hahn-Jordan decomposition theorems are formulated and proved.
Tirpáková, A., Markechová, D.
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Fuzzy Parameterized Fuzzy Soft Measure Spaces
This study first defines some families of fuzzy parameterized fuzzy soft sets (fpfs-sets) such as fpfs-rings, fpfs-$\sigma$-rings, fpfs-algebras, fpfs-$\sigma$-algebras, fpfs-$\pi$-systems, and fpfs-$\lambda$-systems. It also investigates some fundamental properties of these fpfs-set families and analyzes their relations with each other.
Deniz Fidan, Serdar Enginoğlu
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On measures of compactness in fuzzy topological spaces
In the same philosophy as in earlier papers [see \textit{P. Wuyts} and the second author, Fuzzy sets systems 19, 51-80 (1986; Zbl 0606.54004) and the second author (1985; Zbl 0568.54007)], we presents measures in fuzzy topological spaces by which one can determine to which extent a topological property, in this case compactness, is fulfilled ...
Lowen, E., Lowen, R.
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Generalized F-spaces through the lens of fuzzy measures
Probabilistic metric spaces are natural extensions of metric spaces, where the function that computes the distance outputs a distribution on the real numbers rather than a single value. Such a function is called a distribution function. F-spaces are constructions for probabilistic metric spaces, where the distribution functions are built for functions ...
Mariam Taha, Vicenç Torra
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